| 非线性齐次时滞系统H_∞控制 |
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| 引用本文： | 方建印,郭晓丽,程桂芳.非线性齐次时滞系统H_∞控制[J].数学的实践与认识,2005,35(5):168-175. |
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| 作者姓名： | 方建印 郭晓丽 程桂芳 |
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| 作者单位： | 郑州大学数学系,河南,郑州,450052 |
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| 摘 要： | 讨论了非线性齐次时滞系统的H∞控制问题.首先给出了非线性仿射齐次时滞系统的Lyapunov泛函V(x)具体形式,选取适当的λ* ,使得当λ>λ*时系统的Hamilton-Jacobi-Isaacs不等式有解,从而解决了系统的L2 增益问题.文章最后构造了具体状态反馈控制律u(x) ,使时滞Lyapunov泛函V(x)沿闭环系统轨线导数小于零,保证了系统的渐进稳定性,因而解决了系统的H∞控制问题.
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| 关 键 词： | 非线性H∞控制 齐次系统 时滞系统 泛函Lyapunov函数 状态反馈控制律 |
| 修稿时间： | 2003年11月19 |
Nonlinear H∞ Control of Time-delay Systems with Homogeneous Properties |
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| FANG Jian-yin,GUO Xiao-li,CHENG Gui-Fang.Nonlinear H∞ Control of Time-delay Systems with Homogeneous Properties[J].Mathematics in Practice and Theory,2005,35(5):168-175. |
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| Authors: | FANG Jian-yin GUO Xiao-li CHENG Gui-Fang |
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| Abstract: | The problem of H ∞ control and related L 2 gain of nonlinear time-delay systems with homogeneous properties are considered. First of all, Lyapunov function of the systems are given. Then there is a λ * selected suitable, such that λ *>λ Hamilton-Jacobi-Issacs ineaualitis hold. Finally the nonlinear H ∞ control law is given and the problem of H ∞ control of nonlinear time-delay with homogeneous properties is solved. |
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| Keywords: | nonlinear H ∞ control state feedback law homogeneous system Lyapunov function time-delay |
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